Expression of type Exp

from the theory of proveit.numbers.exponentiation

import proveit
# Automation is not needed when building an expression:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%load_expr # Load the stored expression as 'stored_expr'
# import Expression classes needed to build the expression
from proveit import b_star
from proveit.numbers import Abs, Exp, Mult, sqrt, two

# build up the expression from sub-expressions
expr = Exp(Mult(Abs(sqrt(two)), b_star), two)

expr:

# check that the built expression is the same as the stored expression
assert expr == stored_expr
assert expr._style_id == stored_expr._style_id
print("Passed sanity check: expr matches stored_expr")

Passed sanity check: expr matches stored_expr

# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())

\left(\left|\sqrt{2}\right| \cdot b^*\right)^{2}

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Operation	operator: 10 operands: 1
1	ExprTuple	2, 16
2	Operation	operator: 3 operands: 4
3	Literal
4	ExprTuple	5, 6
5	Operation	operator: 7 operand: 9
6	Variable
7	Literal
8	ExprTuple	9
9	Operation	operator: 10 operands: 11
10	Literal
11	ExprTuple	16, 12
12	Operation	operator: 13 operands: 14
13	Literal
14	ExprTuple	15, 16
15	Literal
16	Literal